643590144 has 192 divisors, whose sum is σ = 1942012800. Its totient is φ = 210567168.

The previous prime is 643590139. The next prime is 643590179. The reversal of 643590144 is 441095346.

643590144 is a `hidden beast` number, since 64 + 3 + 590 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 643590099 and 643590108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5695432 + ... + 5695544.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^643590144 is an apocalyptic number.

643590144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971006400).

643590144 is an abundant number, since it is smaller than the sum of its proper divisors (1298422656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

643590144 is a wasteful number, since it uses less digits than its factorization.

643590144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 643590144 is about 25369.0785011991. The cubic root of 643590144 is about 863.3822745056.

The spelling of 643590144 in words is "six hundred forty-three million, five hundred ninety thousand, one hundred forty-four".